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Linear inviscid damping in Gevrey spaces

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arxiv 1904.01188 v2 pith:FQJ2FA6J submitted 2019-04-02 math.AP

Hao Jia This is my paper · ORCID
classification math.AP
keywords dampinginviscidflowsgeneralgevreylinearshearspaces
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We prove linear inviscid damping near a general class of monotone shear flows in a finite channel, in Gevrey spaces. It is an essential step towards proving nonlinear inviscid damping for general shear flows that are not close to the Couette flow, which is a major open problem in 2d Euler equations.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Stability threshold of the 2D Couette flow in Sobolev spaces

    math.AP 2019-08 conditional novelty 8.0 of 10

    For 2D Navier-Stokes near Couette flow, H^σ vorticity perturbations of size ≤ ε Re^{-1/3} are globally stable with inviscid damping and enhanced dissipation.

  2. On the stability of laminar flows between plates

    math-ph 2019-08 conditional novelty 7.0 of 10

    Monotone shear flows that are either nearly linear or have no inflection point are linearly stable in the large Reynolds limit, in a periodic channel with no-slip or traction boundary conditions.

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